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Finding the Fourth Proportional to 1,109.91, 1,664.86 and 288.12

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Solution

The fourth proportional to 1,109.91, 1,664.86 and 288.12 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.91 : 1,664.86 = 288.12 : x
  2. Step 2: Convert to fraction form
    1,109.91/1,664.86 = 288.12/x
  3. Step 3: Cross multiply
    1,109.91x = 1,664.86 × 288.12
  4. Step 4: Simplify right side
    1,109.91x = 479,671.14
  5. Step 5: Solve for x
    x = 479,671.14/1,109.91
  6. Step 6: Final answer
    x = 432.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.